Extensions 1→N→G→Q→1 with N=C₂₂₄ and Q=C₂

Direct product G=N×Q with N=C₂₂₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₂₄		448		C2xC224	448,173

Semidirect products G=N:Q with N=C₂₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂₄⋊₁C₂ = D₂₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₄	224	2+	C224:1C2	448,5
C₂₂₄⋊₂C₂ = C₂₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₄	224	2	C224:2C2	448,6
C₂₂₄⋊₃C₂ = C₇×D₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₄	224	2	C224:3C2	448,175
C₂₂₄⋊₄C₂ = C₇×SD₆₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₄	224	2	C224:4C2	448,176
C₂₂₄⋊₅C₂ = D₇×C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₄	224	2	C224:5C2	448,3
C₂₂₄⋊₆C₂ = C₃₂⋊D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₄	224	2	C224:6C2	448,4
C₂₂₄⋊₇C₂ = C₇×M₆(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₄	224	2	C224:7C2	448,174

Non-split extensions G=N.Q with N=C₂₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂₄.₁C₂ = Dic₁₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₄	448	2-	C224.1C2	448,7
C₂₂₄.₂C₂ = C₇×Q₆₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₄	448	2	C224.2C2	448,177
C₂₂₄.₃C₂ = C₇⋊C₆₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₂₄	448	2	C224.3C2	448,1

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